HPC-Accelerated Simulation and Calibration for Silicon Quantum Dots

TL;DR

This paper introduces Qalibrate, a high-speed simulator for quantum dot systems that accelerates the calibration of quantum gates by up to 34 times, aiding the development of quantum computers.

Contribution

We developed Qalibrate, a JAX-enabled simulator with a gradient-based optimizer that significantly speeds up the calibration of unitaries in silicon quantum dots.

Findings

Qalibrate achieves up to 34x speedup over existing simulators.

The simulator effectively models three-electron spin qubits using the Lindblad master equation.

It facilitates faster generation of robust control pulses for quantum computing applications.

Abstract

Quantum computers (QCs) have the potential to solve critical problems significantly faster than today's most advanced supercomputers. One major challenge in realizing this technology is designing robust electrostatic pulses to realize unitaries on qubits. Current practice when calibrating unitaries involves recursive experimentation to find the highest-fidelity pulses. To accelerate this process for experimentalists, we implement Qalibrate, a fast, JAX-enabled simulator that generates pulses given target unitaries. Specifically, we generate a propagator that models the time evolution of three-electron spin qubits and integrate our gradient-based optimizer to generate the pulses. The simulation involves solving the Lindblad master equation, which we parallelize by employing an approximation of the time evolution called the Magnus expansion. Qalibrate shows up to a 34x speedup compared to an existing ODE simulator, making progress towards generating robust pulses for n-qubit systems.